Abstract
In this paper, the scale effect of Kappel tip-rake propellers with different end plate designs was studied using computational fluid dynamics. Given the base size of the mesh and the appropriate numerical model for the determined simulation, the open-water performance of three Kappel propellers with different bending degrees of the end plate at different scales was calculated. Comparing the scale effect of these propellers, the scale effect of the torque coefficient of a Kappel propeller is more intense than that of the conventional propeller. In addition, the scale effect of the torque coefficient is strong when the bending degree of the end plate increases, dwarfing the scale effect on the thrust coefficient. Following the research on the scale effect of the wake field for the Kappel propeller, the laws that reveal the influence of the scale on the wake field were summarized; that is, the high-speed zone in the wake relatively expands with the increase of the scale in company with a trend of tip cross flow. The research reveals the basic variation trend and rule of the open-water performance and wake distribution for the Kappel propeller under different scales within the Reynolds number range of 4.665×105−8.666×107 considering γ transition, as well as the characteristic differences between the Kappel propellers with different end plate designs, which will be of great significance to its optimization design and application to marine vehicles of different scales.
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Abdel-Maksoud M, Heinke HJ (2003) Scale effects on ducted propellers. Twenty-Fourth Symposium on Naval Hydrodynamics, Washington DC, 744–759
Bhattacharyya A, Krasilnikov V, Steen S (2016a) A CFD-based scaling approach for ducted propellers. Ocean Engineering 123: 116–130. https://doi.org/10.1016/j.oceaneng.2016.06.011
Bhattacharyya A, Krasilnikov V, Steen S (2016b) Scale effects on open water characteristics of a controllable pitch propeller working within different duct designs. Ocean Engineering 112: 226–242. https://doi.org/10.10166/j.oceaneng.2015.12.024
Bhattacharyya A, Krasilnikov V, Steen S (2015) Scale effects on a 4-bladed propeller operating in ducts of different design in open water. Fourth International Symposium on Marine Propulsors, Austin, 604–611
Chen X, Huang Y, Wei P, Zhang Z, Jin F (2018) Numerical analysis of scale effect on propeller E1619. 37th International Conference on Ocean, Offshore and Arctic Engineering, Madrid, 243–252
Cheng H, Chien Y, Hsin C, Chang K, Chen P (2010) A numerical comparison of end-plate effect propellers and conventional propellers. Journal of Hydrodynamics 22(5): 495–500. https://doi.org/10.1016/S1001-6058(09)60242-0
Choi J, Park H, Kim H (2014) A numerical study of scale effects on performance of a tractor type podded propeller. International Journal of Naval Architecture and Ocean Engineering 6(2): 380–391. https://doi.org/10.2478/IJNAOE-2013-0186
Dong X, Li W, Yang C, Yang C, Francis N (2018) RANSE-based simulation and snalysis of scale effects on open-water performance of the PPTC-II benchmark propeller. Journal of Ocean Engineering and Science 3(3): 186–204. https://doi.org/10.1016/j.joes.2018.05.001
Hasuike N, Okazaki M, Okazaki A, Fujiyama K (2017) Sacle effects of marine propellers in POT and self propulsion test conditions. Fifth International Symposium on Marine Propulsors, Espoo, 356–363
Helma S, Streckwall H, Richter J (2018) The effect of propeller scaling methodology on the performance prediction. Journal of Marine Science and Engineering 6(2): 60. https://doi.org/10.3390/jmse6020060
Helma S (2016) A scaling procedure for modern propeller designs. Ocean Engineering 120: 165–174. https://doi.org/10.1016/j.oceaneng.2015.10.009
Helma S (2015) An extrapolation method suitable for scaling of propellers of any design. Fourth International Symposium on Marine Propulsors, Austin, 452–465
Kerwin JE, Hadler JB (2010) The principles of naval architecture series. The Society of Naval Architects and Marine Engineers, Jersey City, 67–100
Kim GD, Lee CS, Kerwin JE (2007) A B-spline based higher order panel method for analysis of steady flow around marine propellers. Ocean Engineering 34(14–15): 2045–2060. https://doi.org/10.1016/j.oceaneng.2007.02.013
Klose R, Schulze R, Hellwig-Rieck K (2017) Investigation of prediction methods for tip rake propellers. Fifth International Symposium on Marine Propulsors, Espoo, 688–696
Krasilnikov V, Sun J, Halse K (2009) CFD investigation in scale effect on propellers with different magnitude of skew in turbulent flow. First International Symposium on Marine Propulsors, Trondheim, 25–35
Kuiper G (1992) The Wageningen propeller series. MARIN, Wageningen, The Netherlands, 10–79
Liu L, Chen M, Wu Y, Zhang Z, Wang X (2021) Numerical study on the scale effect of high-skew propeller E1619. International Joint Conference on Civil and Marine Engineering (JCCME), Hongkong, 365–376
Lungu A (2019) Scale effects on a tip rake propeller working in open water. Journal of Marine Science and Engineering 7(11): 404. https://doi.org/10.3390/jmse7110404
Menter FR (1994) Two-equation eddy-viscosity turbulence models for engineering applications. AIAA Journal 32(8): 1589–1605. https://doi.org/10.2514/3.12149
Peravali SK, Bensow RE, Gyllenram W, Shiri AA (2016) An investigation on ITTC78 scaling method for unconventional propellers. 12th International Conference on Hydrodynamics, Delft, 441–448
Praefke E (1994) Multi-component propulsors for merchant ships-design considerations and model test results. SNAME 7th Propeller and Shafting Symposium, Virginia Beach, USA, 179–186
Sánchez-Caja A, González-Adalid J, Pérez-Sobrino M, Sipilä T (2014) Scale effects on tip loaded propeller performance using a RANSE Solver. Ocean Engineering 88: 607–617. https://doi.org/10.1016/j.oceaneng.2014.04.029
Streckwall H, Greitsch L, Scharf M (2013) An advanced scaling procedure for marine propellers. Third International Symposium on Marine Propulsors, Launceston, 136–142
Sun S, Hu Z, Wang C, Guo Z, Li X (2021) Numerical prediction of scale effect on propeller bearing force of a four-screw ship. Ocean Engineering 229: 108974. https://doi.org/10.1016/joceaneng.2021.108974
Sun S, Wang C, Guo C, Zhang Y, Sun C, Liu P (2020) Numerical study of scale effect on the wake dynamics of a propeller. Ocean Engineering 196: 106810. https://doi.org/10.1016/j.oceaneng.2019.106810
Sun C, Wang C, Sun S, Chang X, Zhang L (2018) Numerical prediction analysis of the fluctuating pressure and rudder force of full-scale hull-propeller-rudder system. Ocean Engineering 147: 580–590. https://doi.org/10.10166/j.oceaneng.2017.11.006
Ueno M, Suzuki R, Tsukada Y (2019) Full-scale ship propeller torque in wind and waves estimated by free-running model test. Ocean Engineering 184: 332–343. https://doi.org/10.1016/j.oceaneng.2019.04.057
Wu J (2008) Design and spatial geometric representation of Kappel propeller. Master thesis, Taiwan Ocean University, Jilong
Yao H, Zhang H (2018) Numerical simulation of boundary-layer transition flow of a model propeller and the full-scale propeller for studying scale effects. Journal of Marine Science and Technology 23: 1004–1018. https://doi.org/10.1007/s00773-018-0528-4
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Funding Supported by the Ningbo Institute of Materials Technology and Engineering affiliated to Chinese Academy of Sciences (Grant No. 829203-I22101) and TXC (Ningbo) Co., Ltd. (Grant No. 529203-I22004).
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Article Highlights
• In order to assess the scale effect of Kappel propeller and the influence of the end plate bending degree on the scale effect, three Kappel propellers with different end plate designs were constructed.
• 4-order B-spline scheme was applied to vary the blade tip rake distribution for the three Kappel propellers.
• γ transition model was considered during the simulation analysis within the Reynolds number range of 4.665×105−8.666×107.
• The scale effect on the open-water performance, wake distribution, tip vortex distribution and pressure distribution of each Kappel propeller was studied and compared.
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Chen, CW., Chen, X., Zhou, Z. et al. Scale Effect of a Kappel Tip-Rake Propeller. J. Marine. Sci. Appl. 22, 421–434 (2023). https://doi.org/10.1007/s11804-023-00359-1
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DOI: https://doi.org/10.1007/s11804-023-00359-1